1012122101100 has 72 divisors (see below), whose sum is σ = 3194625405888. Its totient is φ = 245362932800.

The previous prime is 1012122101087. The next prime is 1012122101167. The reversal of 1012122101100 is 11012212101.

It is a super-2 number, since 2×1012122101100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153348534 + ... + 153355133.

It is an arithmetic number, because the mean of its divisors is an integer number (44369797304).

Almost surely, 2^{1012122101100} is an apocalyptic number.

1012122101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012122101100 is an abundant number, since it is smaller than the sum of its proper divisors (2182503304788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1012122101100 is a wasteful number, since it uses less digits than its factorization.

1012122101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306703695 (or 306703688 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1012122101100 its reverse (11012212101), we get a palindrome (1023134313201).

The spelling of 1012122101100 in words is "one trillion, twelve billion, one hundred twenty-two million, one hundred one thousand, one hundred".